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The Law of Sines Day 1: Areas and AAS

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Presentation on theme: "The Law of Sines Day 1: Areas and AAS"— Presentation transcript:

1 The Law of Sines Day 1: Areas and AAS
12.4 The Law of Sines Day 1: Areas and AAS

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3 Find the area of the triangle.

4 Find the area of the triangle.

5 Trig ratios only work with right triangles.
This can be used to find the missing side of non right triangles!

6 Solve a triangle given 2 angles and one side
Find all missing sides and angles

7 Solve a triangle given 2 angles and one side
Find all missing sides and angles

8 Solve a triangle given 2 angles and one side
Find all missing sides and angles

9 The Law of Sines Day 2: The Ambiguous case SSA
12.4 The Law of Sines Day 2: The Ambiguous case SSA

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11 Solve a triangle given 2 sides and one angle

12 Solve a triangle given 2 sides and one angle
Determine whether ΔDEF has no solution, one solution, or two solutions. Then solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree. In ΔDEF, E = 52°, e = 5, and f = 9

13 Solve a triangle given 2 sides and one angle
Determine whether ΔXYZ has no solution, one solution, or two solutions. Then solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree. In ΔXYZ, X = 28°, z = 15, and x = 9.

14 Determine whether ΔFGH has no solution, one solution, or two solutions
Determine whether ΔFGH has no solution, one solution, or two solutions. Then solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree. In ΔFGH, F = 36°, g = 9, and f = 6.

15 BASEBALL A baseball is hit between second and third bases and is caught at point B, as shown in the figure. How far away from second base was the ball caught?


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